Haar Measures

TL;DR

This paper introduces Haar measures on locally compact Hausdorff groups, covering foundational concepts, the Haar correspondence, unimodularity, and measures on coset spaces, providing a comprehensive overview of the theory.

Contribution

It offers a concise, foundational introduction to Haar measures, emphasizing their properties and applications in topological groups.

Findings

Haar measures exist uniquely on locally compact Hausdorff groups.

The paper explains the Haar correspondence and unimodularity.

Measures on coset spaces are characterized and discussed.

Abstract

This article provides a concise introduction to the theory of Haar measures on locally compact Hausdorff groups. We cover the necessary preliminaries on topological groups and measure theory, the Haar correspondence, unimodularity and Haar measures on coset spaces.